Solve using python

2012 2. Given g(ar) 14--22 (a) Model u"-substitution by substituting 1 = V VI U (NOTE this is equivalent to w = 4 - 2:14) into (NOTE the denominator is w'), then integrate the resulting expression wit li respect to u. then re-substitute w=4 - r. (b) Model Integration by Parts by letting up and dv Find du and u and then print the result from the IBP forrmila (uv = fudu). (c) Model trig substitution by substituting : 2 sin(6) mto the ex- pression, multiply by dr. integrate the resulting expression" with respect to 0. then resubstitute & arcsin *NOTE: Python does not assume the square root to be positive. so print the resulting expression first and simplify by hand before integrating (d) Your answers should not look the same Simplify each of them to show that they are algebrnically equivalent. 1 2012 2. Given g(ar) 14--22 (a) Model u"-substitution by substituting 1 = V VI U (NOTE this is equivalent to w = 4 - 2:14) into (NOTE the denominator is w'), then integrate the resulting expression wit li respect to u. then re-substitute w=4 - r. (b) Model Integration by Parts by letting up and dv Find du and u and then print the result from the IBP forrmila (uv = fudu). (c) Model trig substitution by substituting : 2 sin(6) mto the ex- pression, multiply by dr. integrate the resulting expression" with respect to 0. then resubstitute & arcsin *NOTE: Python does not assume the square root to be positive. so print the resulting expression first and simplify by hand before integrating (d) Your answers should not look the same Simplify each of them to show that they are algebrnically equivalent. 1